6133742496 has 240 divisors, whose sum is σ = 20869700544. Its totient is φ = 1730958336.

The previous prime is 6133742449. The next prime is 6133742509. The reversal of 6133742496 is 6942473316.

6133742496 is a `hidden beast` number, since 6 + 133 + 7 + 424 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1503916 + ... + 1507988.

Almost surely, 2^6133742496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6133742496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434850272).

6133742496 is an abundant number, since it is smaller than the sum of its proper divisors (14735958048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6133742496 is a wasteful number, since it uses less digits than its factorization.

6133742496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4168 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 6133742496 is about 78318.2130541804. The cubic root of 6133742496 is about 1830.5229572326.

The spelling of 6133742496 in words is "six billion, one hundred thirty-three million, seven hundred forty-two thousand, four hundred ninety-six".